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What is the value of 100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . . . . 12² – 11² ?
Question

What is the value of
100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . . . . 12² – 11² ?

A.

5050

B.

4985

C.

4995

D.

4950

Correct option is C

Given:
100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . + 12² – 11² 
Formula Used: 
Sum of natural number = n×(n+1)2\frac{n \times ( n +1)}{2} 
Solution:
Series ; 100² – 99² + 98² – 97² + 96² – 95² + 94² – 93² + . . . + 12² – 11² .

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